1) Divide both sides by 2
2x+12^2/3 =16
2) Solve the exponent
2x+12^2/3 =16
(2x+12^2/) ^3/2 =16^3/2 ( raise both sides to power)
2x+12 = 64
3) Subtract 12 from both sides
2x + 12 - 12 = 64-12
2x = 52
4) divide both sides by 2
2x/2 = 52/2
x = 26
Final answer : x = 26
The original price is $450.
<u>Step-by-step explanation:</u>
Step 1:
Given details, Discount%, D% = 30 and Selling Price, SP = $315
Step 2:
Write down formula for calculating the Original Price
Selling Price (SP) = Original Price (OP) - Discount (D)
Discount (D) = Original Price (OP) * (D%/100)
Step 3:
Substitute given values in the formula
315 = OP - D
D = 
D = 0.3 OP
Step 4:
Substitute value of D in the first formula
315 = OP - 0.3 OP
315 = OP (1 - 0.3) = 0.7 OP
Original Price, OP = 315/0.7 = $450
Answer:
The correct option is 2.
Step-by-step explanation:
The given inequalities are
.... (1)
.... (2)
Solve each inequality.
Subtract 10 from each side of inequality (1).


Divide both the sides by 2.

The value of x is more than 20.
Subtract 10 from each side of inequality (2).


Divide both the sides by 2.

The value of x is less than 50.
Since x > 20 and x < 50, therefore Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.
Hence the correct option is 2.
Answer:
(6,0)
Step-by-step explanation:
The coordinates of the points dividing the line segment in ratio m:n can be calculated as:

Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).
In this case m will be 2 and n will be 3 as the ratio is 2:3
Using all these values we can find the coordinates of point Q

Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)
Depends on where you are in the math book but this would be the most simple way.
n= number
sqar(-1) = i